Answer:
y=5/4x-5
Explanation:
Hi there!
The equation of the line is typically written as y=mx+b, where m is the slope and b is the y intercept
Perpendicular lines have slopes that are negative and reciprocal. If they are multiplied together, the result is -1
So let's find the slope of the perpendicular line with this formula:
-4/5m=-1
multiply both sides by -5/4 (we need to isolate m onto one side, and -4/5*-5/4=1)
m=5/4
So the slope of the new line is 5/4
Here's the equation so far:
y=5/4x+b
now we need to find b
Because the equation of the line passes through (0,-5), we can use it to solve for b
substitute 0 as x and -5 as y
-5=5/4(0)+b
-5=0+b
-5=b
Therefore the equation of the line is:
y=5/4x-5
Hope this helps!